if 2y-5x+10=0, find.
(i)y, when x=2
(ii)x, when y=5​

Answer:

y = (3/5)*x

Step-by-step explanation:

First, we can use the slope-intercept form of a line, or y=mx+b

To find the slope, m, we can find

(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have

(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5

Therefore, our equation is

y = (3/5)x + b

To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in

y = mx + b

0 = (3/5)*0 + b

0 = b

Our equation is therefore

y = (3/5)*x + 0

= (3/5)*x

Answer:

RT = 25.5

Step-by-step explanation:

RT = RS + ST = 17 + 8.5 = 25.5

Answer:

The answer would be 3/4 > 5/8

Answer:

C. 164

Step-by-step explanation:

its self explanitory

Answer and Step-by-step explanation:

To solve for h, divide everything from both sides to get h by itself.

[tex]\frac{S}{2tr} =h[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

Answer:

13:9 with 9 being unshaded

Step-by-step explanation:

i drew a similar grid, shaded them in in the way you specified, then counted the squares on either side. the i put the numbers in a fraction and simplified

Answer:

8 students in van, 29 students in bus

Step-by-step explanation:

To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.

High School A: 13x+6y=278

High School B: 10x+12y=428

Let's use elimination method to solve. We would multiply the first equation by 2.

26x+12y=556

10x+12y=428

Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.

 26x+12y=556

-(10x+12y=428)

          16x=128

With 16x=128 left, we can just solve for x.

16x=128               [divide both sides by 16]

x=8

Now that we have x=8, we can plug that into the equations above to find y.

13(8)+6y=278     [multiply]

104+6y=278       [subtract both sides by 104]

6y=174                [divide both sides by 6]

y=29

With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.

Step-by-step explanation:

Let,

No. of students in vans = x

No. of students in bus = y

In case 1

13x + 6y = 278(1)

In case 2

10x + 12y = 428(2)

On multiplying eq. 1 by 2

2(13x + 6y) = 2(278)

26x + 12y = 556 (3)

On subtracting 2 and 3

26x + 12y - (10x + 12y) = 556 - 428

26x + 12y - 10x - 12y = 128

16x = 128

x = 128/16

x = 8

From 1

13(8) + 6y = 278

104 + 6y = 278

6y = 278 - 104

6y = 174

y = 174/6

y = 29

l-37l=37 is the correct answer.

Answer: Amir Is Right

Step-by-step explanation: 4 seconds and it made 8 clicks

4/8 is 2  and the check if its right you can do 2x4 to get the clicks that were made in 4 seconds.

Answer:

Amir is correct.

Step-by-step explanation:

To find the cps (clicks per second), divide the clicks by the number of seconds.

[tex]\frac{8 clicks}{4 seconds}[/tex]

Simplify the fraction.

[tex]\frac{2 clicks}{1 seconds}[/tex]

Since 2 over 1 is really just 2 and the line of the fraction can be read as "per", we could re-write the above fraction in words as:

2 clicks per second

Therefor, Amir is correct.

Answer:

(a) 0.000000000503          (b) 800700000

Step-by-step explanation:

Hope this helps :)

Answer:

= 0.000000000503

Step-by-step explanation:

I assume it wants the answer as an ordinary number so its = 0.000000000503

Hope this helps!

Answer:

It is y = x - 5

Step-by-step explanation:

General equation of a line:

[tex]{ \bf{y = mx + c}}[/tex]

m is the gradient, and c is y-intercept.

For gradient:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]

substitute:

[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]

m = 1

for y-intercept:

consider point (6, 1):

[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]

therefore:

[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]

Answer:

30 is the nearest tenth of 26

The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H

Midpoint of a line is a point that divides a line into two equal parts.

If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:

[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]

Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4

[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]

Get the coordinates Y:

[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]

This shows that the coordinate of E will be (1, -3)

Learn more here: https://brainly.com/question/3510899

Answer:

-1

Step-by-step explanation:

gradient = [tex]\frac{y1-y2}{x1-x2}[/tex]

= (4-(-4))/ (-6-2) = 8/-8 = -1

[tex]\\ \qquad\quad\sf\longmapsto 4x+9y-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4(-m)+9(3)-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m+27-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m+24=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m=-24[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=\dfrac{-24}{-4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=6[/tex]

Step-by-step explanation:

You said:

'25% of the people = 60 people "

' 25% ' means 0.25

'of ' means ' times'

So people (0.25) x (the people) = 60

the people=60/0.25

the people=6000/25

the people=240

Answer:

Step-by-step explanation:

Let the number of people = x

25% of x = 60

            [tex]\dfrac{25}{100}*x=60\\\\x=\dfrac{60*100}{25}\\\\x=60*4\\\\x= 240[/tex]

Answer:

D

Step-by-step explanation:

2 5/6=2 10/12

7/4=1 3/4= 1 9/12

2 10/12+1 9/12= 4 7/12

you can just change the denominators to the same which is 12. Hope you appreciate it!

Answer:

From SOHCAHTOA

Sine=Opp/Hyp

Sin26 = x/10

This is the appropriate eqn to solve this

OPTION D IS YOUR ANSWER!

Answer:

$2.20

Step-by-step explanation:

The tip is 10% of $22, or 0.1 * 22 = 2.2

So $2.20 (we can add a hidden 0 on the end)

Answer:

Ruby = 18+6=24

Isaac = 18

Svetlana = 4*18=72

24+18+72=114

Step-by-step explanation:

Ruby= x+6

Isaac= x

Svetlana = 4x

x+6+x+4x = 114

6x = 114 - 6

x = 108/6

X = 18

Answer:

C

Step-by-step explanation:

We want to solve the inequality:

[tex]\displaystyle 5.1(3 + 2.2x) > -14.25 - 6(1.7x+4)[/tex]

Distribute:

[tex](15.3+11.22x) > -14.25 + (-10.2x-24)[/tex]

Combine like terms:

[tex]15.3 + 11.22x > -10.2x-38.25[/tex]

We can add 10.2x to both sides:

[tex]15.3 + 21.42x > -38.25[/tex]

Subtract 15.3 from both sides:

[tex]21.42x > -53.55[/tex]

And divide both sides by 21.42. Hence:

[tex]\displaystyle x > -2.5[/tex]

This means all values greater than -2.5. Hence, in interval notation:

[tex](-2.5, \infty)[/tex]

In conclusion, our answer is C.

Answer:

45

Step-by-step explanation:

....................

Hey there! I'm happy to help!

We see that the cupcakes are $2, but for every 8 you buy you get 1 free.

So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.

Let's see how many times $16 goes into $80.

80/16=5

So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.

9*5=45

So, Fatimah will get 45 donuts during the promotion.

Have a wonderful day and keep on learning! :D

9514 1404 393

Answer:

  {9, 33, 73, 201}

Step-by-step explanation:

Put each of the values in place of the variable and do the arithmetic. For example, ...

  f(10) = 2(10)² +1 = 201 . . . . . 201 is in the output set, corresponding to x=10.

__

I find repetitive calculations are done easily by a graphing calculator or spreadsheet.

The corresponding set for the dependent variable is {9, 33, 73, 201}.

Answer:

1/5, 1/3, 0.4, 1/2

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.33

1/2 = 0.5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto 2(x+3x-5)=366[/tex]

[tex]\\ \rm\longmapsto 2(4x-5)=366[/tex]

[tex]\\ \rm\longmapsto 4x-5=\dfrac{366}{2}[/tex]

[tex]\\ \rm\longmapsto 4x-5=183[/tex]

[tex]\\ \rm\longmapsto 4x=183+5[/tex]

[tex]\\ \rm\longmapsto 4x=188[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{188}{4}[/tex]

[tex]\\ \rm\longmapsto x=47[/tex]

[tex]\\ \rm\longmapsto 3x-5=3(47)-5=141-5=146[/tex]

Step-by-step explanation:

with God everything is possible

explanation

because we go to church

9514 1404 393

Answer:

  144, rational

Step-by-step explanation:

The product is ...

  (3√12)(4√12) = (3)(4)(√12)^2 = 12·12 = 144, a rational number